Input-output description of microwave radiation in the dynamical Coulomb blockade
arXiv:1309.3646 · doi:10.1088/1367-2630/16/1/015015
Abstract
We study microwave radiation emitted by a small voltage-biased Josephson junction connected to a superconducting transmission line. An input-output formalism for the radiation field is established, using a perturbation expansion in the junction's critical current. Using output field operators solved up to the second order, we estimate the spectral density and the second-order coherence of the emitted field. For typical transmission line impedances and at frequencies below the main emission peak at the Josephson frequency, radiation occurs predominantly due to two-photon emission. This emission is characterized by a high degree of photon bunching if detected symmetrically around half of the Josephson frequency. Strong phase fluctuations in the transmission line make related nonclassical phase-dependent amplitude correlations short lived, and there is no steady-state two-mode squeezing. However, the radiation is shown to violate the classical Cauchy-Schwarz inequality of intensity cross-correlations, demonstrating the nonclassicality of the photon pair production in this region.
29 pages, 4 figures
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- Resonators coupled to voltage-biased Josephson junctions: From linear response to strongly driven nonlinear oscillations
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- Quantum Properties of the radiation emitted by a conductor in the Coulomb Blockade Regime
- Creating photon-number squeezed strong microwave fields by a Cooper-pair injection laser
- Inelastic scattering of microwave radiation in the dynamical Coulomb blockade
- Lasing in circuit quantum electrodynamics with strong noise
- Analysis of a single-mode waveguide at sub-terahertz frequencies as a communication channel
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